AnswersEAP-Algebra Functions and Data Analysis B CRTheoretical and Experimental Probability

Theoretical and Experimental Probability — Unit test Answers

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Which statements are true? Select three options.

A
P(F|C) = 0.75
B
P(C|F) = 0.25
C
P(C∩F) = 0.09
D
P(C∩F) = P(F∩C)
E
P(C|F) = P(F|C)
7

three

S
S = {1, 2, 3, 4, 5, 6}
I
If A is a subset of S, A could be {0, 1, 2}.
I
If A is a subset of S, A could be {5, 6}.
I
If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.
I
If a subset A represents the complement of rolling an even number, then A = {1, 3}.
9

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
10

Hana has a bag containing one red (R), one blue (B), and one yellow (Y) tile. She draws two tiles out of the bag, one after the other. Which explanation and tree diagram represent a pair of dependent of events?

A
Once a tile is chosen, it can be chosen again:
Option A
B
Once a tile is chosen, it cannot be chosen again:
Option B
C
Once a tile is chosen, it cannot be chosen again:
Option C
D
Once a tile is chosen, it can be chosen again:
Option D
11

Which best describes independent events?

A
The results of all events have different individual probabilities.
B
The results of any previous events affects the probability of future events.
C
The results of all events have the same individual probability.
D
The results of all previous events do not affect the probability of future events.
12

A survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. The results of the survey are shown in the table.

Question illustration
A
Out of the 125 children who do not have a pet, 18 of them have 2 siblings.
B
Out of the 97 children who have 1 pet, 40 of them do not have any siblings.
C
Out of the 125 children who do not have any siblings, 34 of them have a pet.
D
Out of the 97 children who have 1 sibling, 40 of them do not have a pet.
13

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class.

Question illustration
A
A and B are independent events because P(A∣B) = P(A).
B
A and B are independent events because P(A∣B) = P(B).
C
A and B are not independent events because P(A∣B) ≠ P(A).
D
A and B are not independent events because P(A∣B) ≠ P(B).
17

There are 22 participants in a spelling bee. In how many ways can the top 5 participants finish? Use the formula for permutations to find your answer.

A
26,334
B
632,016
C
3,160,080
D
5,153,632
18

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

Question illustration
A
StartFraction 11 Over 64 EndFraction
Option A
B
StartFraction 11 Over 53 EndFraction
Option B
C
StartFraction 53 Over 64 EndFraction
Option C
D
StartFraction 53 Over 57 EndFraction
Option D
19

How many 2-letter combinations can be created from the distinct letters in the word “mathematician”? Assume that the order of the letters does not matter.

A
28
B
56
C
78
D
156
20

A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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